Essential StatisticsHistograms/Boxplots Name: ______

  1. Here are hand spans, to the nearest half-centimeter, of students in one algebra class.
    19 18.5 20.5 21.5 18.5 17.5 22 22.5 19.5 20 24 18
    16.5 28 19 20 20.5 24 15 17 19 18 21 21
    Create a histogram for this data, name the center, spread, and shape. What does it mean?
  1. The owner of an independent record shop monitored CD sales over a period of days. This histogram shows the results.
  2. Find the total number of days included in this data set.
  3. For how many days were fewer than 20 CDs sold?
  4. For how many days were at least 50 but fewer than 80 CDs sold?
  5. Explain the empty 80–90 interval.
  6. Construct another histogram for this data set using intervals of 20 rather than 10.

For #4– 7: Use the following information: A teacher surveyed a group of 36 Statistic students as to the number of hours of sleep each had received the previous night. Here were the hours given:

9 / 6 / 10 / 8 / 6 / 7 / 11 / 7.5 / 6 / 9 / 7.1 / 7 / 5.9 / 7 / 8 / 7 / 7.5 / 7.5
4 / 9 / 8 / 7.2 / 6 / 4 / 6.5 / 5 / 8 / 8 / 7 / 8 / 7 / 8 / 5.1 / 5 / 3 / 6
4. / Complete the following frequency distribution table. / 5.Construct the corresponding histogram.
Class / Count
3.0 to < 4.2

6.Describe the shape, spread and center of the distribution of hours slept.

………………………………………………………………………………

7.Are there any obvious outliers? If so, name them. ……………………………………………

  1. The level of various substances in the blood influences our health. Here are the measurements of the level of phosphate in the blood of a patient, in milligrams of phosphate per deciliter of blood, made on 6 consecutive visits to a clinic.
    5.6 5.2 4.6 4.9 5.7 6.4
  2. Find the mean of the data
  3. Determine the standard deviation
  4. Use the Stat button on your calculator to find the ands, compare the results.
  1. Here are the scores on the Survey of Study Habits and Attitudes (SSHA) for 18 first-year college women:
    154 109 137 115 152 140 154 178 101 103 126 126 137 165 165 129 200 148
  2. Find the 5 number summary for this data
  3. Create a box-plot
  4. Should we use the 5 number summary to explain the data or the ands? Explain.

Height / Count / Height / Count / Height / Count
60 / 2 / 66 / 18 / 72 / 9
61 / 6 / 67 / 7 / 73 / 4
62 / 9 / 68 / 12 / 74 / 2
63 / 7 / 69 / 5 / 75 / 4
64 / 5 / 70 / 11 / 76 / 1
65 / 20 / 71 / 8
  1. The frequency table below shows the heights (in inches) of 130 choir members.
  2. Find the 5 number summary for this data
  3. Display the data with a box plot
  4. Find the and s
  5. Display this data with a histogram
  6. Write a few sentences describing the distribution of the heights.
  7. For each lettered part, a through c, examine the two given sets of numbers. Without doing any calculations, decide which set has the larger standard deviation, and explain why. Then check by finding it by hand.
    Set 1 Set 2
  8. 3, 5, 6, 7, 9 2, 4, 6, 8, 10
  9. 10, 14, 15, 16, 20 10, 11, 15, 19, 20
  10. 2, 6, 6, 9, 11, 14 82, 86, 86, 91, 94